KNU Mathematics Intensitve Lecture Series

Introduction to Homological Algebra

Prof. Kyoung-Seog Lee (POSTECH)

June 14–15, 21–22, 2024

Abstract

Homology and cohomology of a topological space are fundamental invariants of the space which contain lots of information about it. Indeed, the notions of homology and cohomology are useful in many other contexts and homological algebra tells us how to use these notions in general. In this lecture series, we will discuss several important tools of homological algebra and their applications to various areas of mathematics. Our main reference will be "An introduction to homological algebra" written by Charles A. Weibel.

Lectures

June 14(Fri)

1. Lecture 1. Chain complexes, 10:00 – 11:30
2. Lecture 2. Derived categories, 14:00 – 15:30
3. Lecture 3. Derived functors, 16:00 – 17:30

June 15(Sat)

4. Lecture 4. Homological Dimension, 10:00 – 11:30
5. Lecture 5. Spectral sequences, 14:00 – 15:30

June 21(Fri)

7. Lecture 6. Examples and applications of spectral sequences, 10:00 – 11:30
8. Lecture 7. Group homology and cohomology, 14:00 – 15:30
9. Lecture 8. Examples and applications of group homology and cohomology, 16:00 – 17:30

June 22(Sat)

9. Lecture 9. Lie algebra homology and cohomology, 10:00 – 11:30
10. Lecture 10. Examples and applications of Lie algebra homology and cohomology, 14:00 – 15:30

Venue

• #102, College of Natural Sciences, Kyungpook National University, Daegu, Korea

Accommodation Suggestion

• Browndot-KNU (브라운도트-경북대점)
• Standard double room rate is about KRW80,000 – KRW100,000 as of Dec. 2023.
• Breakfast is not included.

Contact

• Byung Hee An (anbyhee_at_knu.ac.kr)

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